The mean [tex]\mu =11.5[/tex] pounds;
the standard deviation is [tex]\sigma =2.7[/tex] pounds.
Let the variable [tex]X[/tex] be the weight of male babies less than 2 months old. It is normally distibuted with a law
[tex]X\sim N(11.5, 2.7^2).[/tex]
Find the variable
[tex]Z=\dfrac{X-\mu}{\sigma},[/tex] that is normally distributed with a law
[tex]Z\sim N(0, 1).[/tex]
Part A.
If X=15 pounds, then
[tex]Z=\dfrac{15-11.5}{2.7}\approx 1.2963[/tex] and
[tex]Pr(X<15)=Pr(Z<1.2963)\approx 0.9032[/tex]
Part B.
If X=15 pounds, then
[tex]Z=\dfrac{15-11.5}{2.7}\approx 1.2963.[/tex]
If X=13 pounds, then
[tex]Z=\dfrac{13-11.5}{2.7}\approx 0.5555[/tex] and
[tex]Pr(13<X<15)=Pr(0.5555<Z<1.2963)\approx 0.9032-0.7123=0.1909[/tex]
Part C.
If X=17 pounds, then
[tex]Z=\dfrac{17-11.5}{2.7}\approx 2.0370[/tex] and
[tex]Pr(X>17)=Pr(Z>2.0370)=1-Pr(Z<2.0370)\approx 1-0.9793=0.0207.[/tex]
This means that approximately 2% of babies are born with weight more than 17 pounds and, therefore, seems to be quite unusual for a baby.
Using standard normal distribution properties, we calculate that about 90.32% of babies weigh less than 15 pounds, around 19.07% of babies weigh between 13 and 15 pounds and just 2.07% of babies weigh more than 17 pounds, which is considered unusual.
Explanation:These questions are solved using the properties of the normal distribution. The standard score (or z-score) is calculated with the formula z = (x-μ)/σ where x is the value, μ is the mean, and σ is the standard deviation.
For babies that weigh less than 15 pounds: Z = (15-11.5)/2.7 = 1.30. You then use a standard normal table (also called a z-table) to find the proportion associated with this z-score, which is about 0.9032. Therefore, about 90.32% of babies weigh less than 15 pounds.
For babies that weigh between 13 and 15 pounds you need to find the z-scores for both weights and identify the difference. Therefore, for 13 pounds, z = (13-11.5)/2.7 = 0.56, and for 15 pounds z=1.30 as calculated before. The odds of a weight between the two is approximately 0.9032 - 0.7125 = 0.1907. So, about 19.07% of babies weigh between 13 and 15 pounds.
For a baby to weigh more than 17 pounds, you again calculate the z-score which results in z = (17-11.5)/2.7 = 2.04. The proportion associated with this z-score is about 0.9793 but since we want to find the proportion of babies weighing more than 17 pounds we do 1 - 0.9793 = 0.0207 meaning only about 2.07% of babies weigh over 17 pounds. This is well below 5%, so it is considered unusual.
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What is the slope of a line perpendicular to the line in the graph?
A. −3/2
B. −2/3
C. 3/2
D. 2/3
The slope of a line from the given graph is -2/3. Therefore, option B is the correct answer.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
From the given graph,
Slope (m) = Rise/Run
= -1/1.5
Multiply both numerator and denominator by 2, we get
= -2/3
Therefore, option B is the correct answer.
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6 and 2/3 in simplest form
The different forms you can convert 6 2/3 to would be 20/3 and 6.6 but I'd have to say 20/3 would be the simplest form to convert it to. Hope this helps <3
20/3 thats the exact form
You earned $96.15. You would like to buy some new T-shirts. Estimate the number of T-shirts you can buy if each one costs $13.75.
By dividing the total amount of $96.15 by the cost of one T-shirt at $13.75, you can estimate buying approximately 7 T-shirts. You round down to the nearest whole number, so you can purchase 7 T-shirts.
Explanation:To estimate the number of T-shirts you can buy with $96.15, when each T-shirt costs $13.75, you first divide the total amount of money earned by the cost of one T-shirt.
$96.15 ÷ $13.75 = approximately 7 T-shirts
Since you can't buy a fraction of a T-shirt, you will round down to the nearest whole number. Therefore, you can purchase 7 T-shirts with $96.15, assuming there is no sales tax or additional costs.
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Mark is in training for a bicycle race. He needs to ride 50 kilometers a week as part of his training. He rode 18.23 kilometers on Monday and 13.94 kilometers on Wednesday. How much more does Mark need to ride to complete his training for the week. will mark brainly
Mark has ridden 32.17 kilometers so far this week, and to complete his 50-kilometer weekly training goal, he needs to ride an additional 17.83 kilometers.
Explanation:
Mark is in training for a bicycle race and needs to ride 50 kilometers a week. He has already ridden 18.23 kilometers on Monday and 13.94 kilometers on Wednesday. To calculate how much more he needs to ride to meet his goal, we will add the distances he has already covered and subtract that sum from the total required distance.
First, we add the distances covered:
18.23 km (Monday)+ 13.94 km (Wednesday)= 32.17 km (Total ridden)
Next, we subtract the total ridden from the goal for the week:
50 km (Weekly goal)- 32.17 km (Total ridden)= 17.83 km (Remaining distance)
Therefore, Mark still needs to ride 17.83 kilometers to complete his training for the week.
I need help with this Algebra question, if someone could explain how to solve this I'd appreciate it.
See the attached picture:
Given equation: 3 + x/2 = 10
1st step subtract 3 from each side:
x/2 = 7
2nd step multiply both sides by 2:
x = 14
Step 1)
3 + x/2 = 10 ..............This is given
Step 2)
x/2 = 7 ....................... Multiplication property of equality.
This step is wrong. This step is called "Subtraction property of equality". This means you have to subtract 3 from both sides
3 + x/2 - 3 = 10 - 3
Simplifying
x/ 2 = 7
Step 3)
x = 14 ....This is called "Multiplication property of equality" because you multiply both sides by 2.
Hope that helps.
Help me please.......
Area of the horizontal rectangle.
A = L *W
L = 8cm
W = 3 cm
Area = 8 * 3 = 24 cm^2
Area of the Vertical Rectangle
The vertical rectangle has the same dimensions
L = 8 cm
W = 3 cm
Area = L * W
Area = 8 * 3
Area = 24 cm^2
Combined Area
Area = 24 + 24
Area = 48 cm^2 <<< Answer
Hey there!!
In order to solve for the area, let's divide this figure into two rectangles.
Area of a rectangle = Length × Breadth
First rectangle at the top - Length = 8 and width = 3
Hence, the area would be = 24cm²
The second triangle measures : Length = 3 and the width = 5
Area = 3 × 5
... 15cm²
Total area = 24cm² + 15cm²
... 24 + 15 cm²
... 39cm²
Hope my answer helps!!
whats the slope and why?
what is -3x+4=-8
(find the x)
-3x+4=-8
-3x=-12
x = 4
Does the point (2, √6) lie on the circle shown? Help please ASAP
Answer:
Option D is the answer.
Step-by-step explanation:
The circle given on the graph has the center at origin (0, 0).
We have to find the point (2, √6) lies on the circle or not.
If the point lie on the circle then distance of this point from origin = radius of the circle.
Given from the graph radius = 3 units
Now distance of point (2, √6) from (0, 0) = [tex]\sqrt{(2-0)^{2}+(\sqrt{6}-0)^{2}} =\sqrt{4 + 6}=\sqrt{10}=3.16[/tex]
Distance between the point and origin is more than radius 3 units.
Therefore point doesn't lie on the circle.
Option D is the answer.
What’s the answer to number one ? Solve please !!
Originally Dan has X amount of base ball cards.
So the equation would be
(x+6)/2=29
multiply both sides by 2
x+6=58
subtract 6
x=52
Check your work: 52+6=58/2=29
For a football fundraiser, the booster club sold $8 nahos at the homecoming pep rally. In the last 30 minutes they wanted to sell as many as possible so they lowered the price to $5. What percent markdown were the fans receiving?
Answer:
Percent markdown from 8$ to 5$ is 37.5%
Step-by-step explanation:
Given that the booster club is selling nahos at $8 price and in last 30 minutes to sell as many as possible, they lowered the price to 5$.
Percent mark down= [tex]\frac{decrease in price}{original price} X100[/tex]
[tex]=\frac{8-5}{8} X100=\frac{3}{8}X100[/tex]
[tex]=37.5[/tex]
Hence percent markdown from 8$ to 5$ is 37.5%
solve for v when B=3 x v/h
[tex]B=3\cdot\dfrac{v}{h}\qquad|\cdot h\neq0\\\\Bh=3v\qquad|:3\\\\\boxed{v=\dfrac{Bh}{3}}[/tex]
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
If a right triangle has side lengths 6, 6.7 and 3, the hypotenuse is 6.7
Note that:
A right-angled triangle is a triangle that has one of its angles to be 90 degrees
The hypotenuse is the longest side of the tight-angled triangle
If two sides are given, the length of the third side is found using the Pythagoras theorem
The given side lengths are 6, 6.7, and 3
Out of all the three sides given, since 6.7 is greater than 6 and 3, 6.7 is the longest side
Therefore, the hypotenuse of the right-angled triangle with side lengths 6, 6.7, and 3 is 6.7
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HELP :(
ill give ya 5 stars and a thanks and if it lets me ill give you brienlest or what ever its called
There is 1 solution, which is 3/4.
To show this, you actually have to solve the equation. First, you distribute -1 into(9 - 3h) and distribute -3 into (h + 2). In doing so, you should be left with "6h - 9 + 3h = 6 - 3h - 6". Next you combine like terms on each side, so you add 3h to 6h and you subtract 6 from 6. Now you should have "9h - 9 = -3h". Then, you start to solve by subtracting 9h from both sides. You should have -9 = -12h, which you divide -12 on both sides to get h by itself. Finally, you have h = 9/12 (since the negatives on the top and bottom cancel out) which simplified (divided by 3/3) is 3/4. Thus meaning there is only 1 answer.
I hope this helps!
Sue scored a total of 45 points in two games . She scored 8 times as many points in the second game as the first. How many more points did she score in the 2 nd game?
Pls help! I will mark brainliest!!
Total: 2p + 50 < 150
-50 -50
2p < 100
[tex]\frac{2p}{2} < \frac{100}{2}[/tex]
p < 50
Answer: 2p + 50 < 150 , p < 50
Missing numbrr of unit rate for 32/8= ?/1 and 21/7= ?/1
The missing numbers in the given unit rates are 4 and 3 respectively, obtained by dividing the numerator by the denominator.
Explanation:To find the missing number in a unit rate, divide the numerator by the denominator. In your first example, 32 divided by 8 equals 4. Therefore, 32/8 = 4/1. Similarly, in your second example, 21 divided by 7 equals 3. Therefore, 21/7 = 3/1.
A unit rate is a ratio that compares two different measurements where the second term is 1. Here, 'unit' refers to 'one'. For example, if we say a car travel 60 miles in 2 hours, the unit rate would be 30 miles per hour.
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write the number three hundred sixty five ten thousandths in standard form
0.0365 is the standard form for this
There are 11 candidates for homecoming king and 12 candidates for homecoming queen. How many possible outcomes are there for homecoming king and queen ? 156, 182, 132, 210 ?
Answer should be 132
Suck on question need help
-41 1/10 or -41.1; Since he is already 32 1/2 below the surface then if he descends another 8 3/5, that means he is going deeper. For tyou can subtract.
-32 1/2 - 8 3/5
-40 (whole number)
1/2-3/5
-5/10-6/10 (multiplied to GCF of 10)
-11/10 or -1.1 (fraction)
-41 1/10 or -41.1
Answer:
4/11
Step-by-step explanation:
Numbers 38 and 40 pls and thanks
38a) $10.50 To get this answer, you need to multiply $1.50 by 7
38b) $25.50 To get this answer, you need to subtract $10.50 from $36
40) The answer would be $13.7694 and it could be rounded to $13.77. To get this answer .you need to multiply $12.99 by 1.06 since it has a 6% sales tax.
a farmer grows 128 red tomato plant produces about 32 tomatoes. the farmer plans to sell each tomato for 2.00. explain how to find a reasonable estimate for the total amount of money the farmer will earn if she sells all of the tomatoes
a farmer grows 128 red tomato plant produces about 32 tomatoes
Each tomato plant produces 32 tomatoes
Total number of tomatoes produced = 128 * 32 =4096 tomatoes
the farmer plans to sell each tomato for 2.00.
Each tomato cost = $2
4096 tomatoes cost = 2 * 4096 = $8192
the farmer will earn $8192 if she sells all of the tomatoes
Seven students ride the bus to school for every 2 students who walk if there are 105 students who ride the bus, how many students walk
7/2=105/x
7x=210
X=30 students that walk
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
If there are 105 students who ride the bus.
The number of students who walk is 30 students.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of students who walk for every 7 students who ride the bus.
= 2 students
This can be written as,
2 students walking = 7 students on bus _____(1)
Number of students who ride the bus = 105
The number of students who walk.
From (1) we get,
2 students walking = 7 students on the bus
Multiply 15 on both sides.
15 x 2 students walking = 15 x 7 students on the bus
30 students walking = 105 students on the bus
This means that,
There are 30 students who walk if there are 105 students who ride the bus.
Thus,
If there are 105 students who ride the bus.
The number of students who walk is 30 students.
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PLEASE!!! HELP?!? Find two consecutive even integers such that the smaller added to two times the larger gives a sum of 28. The numbers are?
Which pair of complex numbers has a real-number product? (1 + 2i)(8i) (1 + 2i)(2 – 5i) (1 + 2i)(1 – 2i) (1 + 2i)(4i)
Answer:
(1+2i)(1-2i)
Step-by-step explanation:
Answer:
(1+2i)(1-2i)
Step-by-step explanation:
Following are the pairs of the complex number:
(1+2i)(8i),
(1 + 2i)(2 – 5i)
(1+2i)(1-2i) and (1+2i)(4i)
We have to check which pair out of these is a real number product, which means which pair do not contain terms consisting of "i".
A. [tex](1+2i)(8i)= 8i+16i^{2}[/tex]
=[tex]8i-16[/tex]
B. [tex](1+2i)(2-5i)=2-i-10i^{2}[/tex]
=[tex]12-i[/tex]
C. [tex](1+2i)(1-2i)=1^{2}-4i^{2}[/tex]
=[tex]5[/tex]
D. [tex](1+2i)(4i)=4i+8i^{2}[/tex]
=[tex]4i-8[/tex]
Since, A,B,D contains the term "i" which means they are not real valued, therefore option C that is (1+2i)(1-2i) has a real number product.
Suppose the Godaris want to fence in the patio, and they know the length of its perimeter. Which measurement would be most appropriate for describing the length of the perimeter to a contractor to determine the cost of fencing materials?
22 feet
21.8259 feet
21.826 feet
22.17 feet
Contractors charge fencing, in general, by the foot. So the most appropriate quote will be 22 feet.
it would be more benifical to the contractor if Godaris told the contractor 22.17 feet
1.82 = ______ yd what is the answer
Answer:
1.990376 yards
Step-by-step explanation:
Answer:
1.82 meters = 1.9903762029746 yards
Step-by-step explanation:
To convert from meters to yards, you just need to multiply the value in meters by 1.0936132983377 (the conversion factor).
So, 1.82 meters = 1.82 × 1.0936132983377 = 1.9903762029746 yards.
A plumbing contractor bid the rough-in work for a new three-story office building based an estimate of 850 hours of a journey-level plumber's time on the job. After the job was in progress, the contractor determined that the first floor required 342 hours and the second floor required 329 hours. How many labor hours are left in the estimate to complete the third floor?
There is 179 hours left.
-Hiadamcom
I reallly need help quick with this
you can do that on here
fraction-1/3
decimal- 0.3333333333333333333333333333333333333333333333333333333333333333333333
(they are equal)
-hope this helps
-i hope u get the 0.3 part it will never end its just that i since it never ends i can't but th e whole thing
Three rock climbers started a climb with each person carrying 7.8 kilograms of climbing equipment. A forth climber with no equipment joined the group. the group divides the total weight of climbing equipment equally among the four climbers. How much did each climber carry?
Basically 7.8x 3=23.4 kilograms total, but 23.4 divided by 4 is 5.85. HOPE this helps!